What is 0.66666666 with a bar over 0.66 (that goes on and on and never stops) converted into a fraction?
2006-12-03 04:09:01 · 16 answers · asked by hello. 2 in Science & Mathematics ➔ Mathematics
Any repeating decimal can be obtained by the repeating numbers divided by 9's where the number of nines is equal to the digits in the repeat.
one repeating digit
6/9 =.6666666666666666666666666...
reduce to 2/3
two repeating digits
23/99 = 0.232323232323232323....
3 repeating digits
328/999 = 0.328328328328328328328...
4 repeating digits
1423/9999 = 0.14231423142314231423....
5 repeating digits
32459/99999 = 0.32459324593245932459...
and so on...
2006-12-03 04:15:32 · answer #1 · answered by rm 3 · 0⤊ 0⤋
2/3
₢
2006-12-03 04:22:41 · answer #2 · answered by Luiz S 7 · 0⤊ 0⤋
It's the fraction of 2 / 3
2006-12-03 04:35:28 · answer #3 · answered by Anonymous · 0⤊ 0⤋
2/3
2006-12-03 04:22:06 · answer #4 · answered by Anonymous · 0⤊ 0⤋
2/3
2006-12-03 04:13:21 · answer #5 · answered by Christina 3 · 0⤊ 0⤋
its 2/3
2006-12-03 04:09:53 · answer #6 · answered by ╦╩╔╩╦ O.J. ╔╩╦╠═ 6 · 0⤊ 0⤋
2/3
2006-12-03 04:09:52 · answer #7 · answered by Beast from the East 5 · 0⤊ 0⤋
2 over 3 = 0.6666666666667
2006-12-03 04:11:20 · answer #8 · answered by Anonymous · 0⤊ 0⤋
66 2/3
2006-12-03 04:10:59 · answer #9 · answered by WC 7 · 0⤊ 0⤋
x = 0.6666666.....
10x = 6.666666....
Subtract the first from the second:
10x - x = 6.66666... - 0.66666... = 6
9x = 6
x = 6/9 = 2/3
In general, if you have a repeating fraction, take the part that repeats and divide it by the same number of 9s.
.2727272727... = 27/99 = 3/11
.123123123.... = 123/999
etc
2006-12-03 04:12:39 · answer #10 · answered by Jim Burnell 6 · 0⤊ 0⤋